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Finding the Third Proportional to 206,858 and 446,724

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Solution

The third proportional to 206,858 and 446,724 is: 964,731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,858 : 446,724 = 446,724 : x
  2. Step 2: Convert to fraction form
    206,858/446,724 = 446,724/x
  3. Step 3: Cross multiply
    206,858x = 446,724 × 446,724
  4. Step 4: Simplify right side
    206,858x = 199,562,332,176
  5. Step 5: Solve for x
    x = 199,562,332,176/206,858
  6. Step 6: Final answer
    x = 964,731.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.